Finding the Third Proportional to 115.50 and 158.88

Step by Step Solution

1. Step 1: Write the proportion equation
   115.50 : 158.88 = 158.88 : x
2. Step 2: Convert to fraction form
   115.50/158.88 = 158.88/x
3. Step 3: Cross multiply
   115.50x = 158.88 × 158.88
4. Step 4: Simplify right side
   115.50x = 25,241.27
5. Step 5: Solve for x
   x = 25,241.27/115.50
6. Step 6: Final answer
   x = 218.54